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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 142912.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
142912.y1 | 142912bq1 | \([0, -1, 0, -5521, -154087]\) | \(18178400056576/262710217\) | \(269015262208\) | \([]\) | \(222208\) | \(0.99709\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142912.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 142912.y do not have complex multiplication.Modular form 142912.2.a.y
sage: E.q_eigenform(10)